What is the Greatest Common Factor of 33574 and 33583?

Greatest common factor (GCF) of 33574 and 33583 is 1.

GCF(33574,33583) = 1

We will now calculate the prime factors of 33574 and 33583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33574 and 33583.

How to find the GCF of 33574 and 33583?

We will first find the prime factorization of 33574 and 33583. After we will calculate the factors of 33574 and 33583 and find the biggest common factor number .

Step-1: Prime Factorization of 33574

Prime factors of 33574 are 2, 16787. Prime factorization of 33574 in exponential form is:

33574 = 2¹ × 16787¹

Step-2: Prime Factorization of 33583

Prime factors of 33583 are 11, 43, 71. Prime factorization of 33583 in exponential form is:

33583 = 11¹ × 43¹ × 71¹

Step-3: Factors of 33574

List of positive integer factors of 33574 that divides 33574 without a remainder.

1, 2, 16787

Step-4: Factors of 33583

List of positive integer factors of 33583 that divides 33574 without a remainder.

1, 11, 43, 71, 473, 781, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33574 and 33583. The biggest common factor number is the GCF number.
So the greatest common factor 33574 and 33583 is 1.

Also check out the Least Common Multiple of 33574 and 33583